Proximity definitely will help. Get right on top of it if you have to (use a pop screen).
Room acoustics can play a big part too. Try moving the mic to different parts of the room, or trying different rooms altogether.
Mic choice is huge. Typically large diaphragm condensers are used for lead vocals. The better the mic (and the preamp as well) the better your chance for the sound you are looking for. Although occasionally it's the crappiest gear that gets the best sound for a specific project, it's hard to lose by adding quality most of the time.